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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 3648z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3648.m1 | 3648z1 | \([0, -1, 0, 5, 13]\) | \(175616/1539\) | \(-98496\) | \([]\) | \(256\) | \(-0.36055\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3648z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3648z do not have complex multiplication.Modular form 3648.2.a.z
sage: E.q_eigenform(10)